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Finding the Fourth Proportional to 2,105.67, 2,906.78 and 1,996.59

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Solution

The fourth proportional to 2,105.67, 2,906.78 and 1,996.59 is: 2,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.67 : 2,906.78 = 1,996.59 : x
  2. Step 2: Convert to fraction form
    2,105.67/2,906.78 = 1,996.59/x
  3. Step 3: Cross multiply
    2,105.67x = 2,906.78 × 1,996.59
  4. Step 4: Simplify right side
    2,105.67x = 5,803,637.90
  5. Step 5: Solve for x
    x = 5,803,637.90/2,105.67
  6. Step 6: Final answer
    x = 2,756.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.